Search a number
-
+
1014408 = 233273193
BaseRepresentation
bin11110111101010001000
31220112111200
43313222020
5224430113
633424200
711423313
oct3675210
91815450
101014408
1163315a
1240b060
13296955
141c597a
15150873
hexf7a88

1014408 has 48 divisors (see below), whose sum is σ = 2799420. Its totient is φ = 331776.

The previous prime is 1014397. The next prime is 1014451. The reversal of 1014408 is 8044101.

It can be written as a sum of positive squares in 2 ways, for example, as 1004004 + 10404 = 1002^2 + 102^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5160 + ... + 5352.

21014408 is an apocalyptic number.

1014408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399710).

1014408 is an abundant number, since it is smaller than the sum of its proper divisors (1785012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1014408 is a wasteful number, since it uses less digits than its factorization.

1014408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1014408 is about 1007.1782364607. The cubic root of 1014408 is about 100.4779783932.

Adding to 1014408 its reverse (8044101), we get a palindrome (9058509).

The spelling of 1014408 in words is "one million, fourteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 193 219 292 386 438 579 584 657 772 876 1158 1314 1544 1737 1752 2316 2628 3474 4632 5256 6948 13896 14089 28178 42267 56356 84534 112712 126801 169068 253602 338136 507204 1014408